19 citations · 33 across the 3 of their papers we have counts for
4 papers
Theta functions for singular curves
Indranil Biswas, Jacques Hurtubise
Let be an irreducible singular Riemann surface, with desingularisation . The generalised Jacobian of fibers over the Jacobian of $\w…
Surfaces and the Sklyanin bracket
J. C. Hurtubise, E. Markman
We discuss the Lie Poisson groups structures associated to splittings of the loop group LGL(N), due to Sklyanin. Concentrating on the finite dimensional leaves of the associated Po…
Calogero-Moser systems and Hitchin systems
J. C. Hurtubise, E. Markman
We exhibit the elliptic Calogero-Moser system as a Hitchin system of G-principal Higgs pairs. The group G, though naturally associated to any root system, is not semi-simple. We th…
Rank 2 integrable systems of Prym varieties
J. C. Hurtubise, E. Markman
A correspondence between 1) rank 2 completely integrable systems of Jacobians of algebraic curves and 2) (holomorphically) symplectic surfaces was established in a previous paper b…